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Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
Інший ID:
2010 Mathematics Subject Classification: 35Q53; 37K10; 35A30
DOI:10.3842/SIGMA.2014.045
DOI:10.3842/SIGMA.2014.045
Посилання:
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation / L.L. Xue, Q.P. Liu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ.
Підтримка:
The comments of the anonymous referees have been useful in clarifying certain points such as the
connection between Levi’s B¨acklund transformation and elementary B¨acklund transformation of
the KdV equation. This work is supported by the National Natural Science Foundation of China
(grant numbers: 10971222, 11271366 and 11331008) and the Fundamental Research Funds for
Central Universities.
Дата:
2014
Переглядів:
650
Завантажень:
265
Анотація:
For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations. The reduction of one of the Bäcklund-Darboux transformations and the corresponding discrete system are considered for Kupershmidt's super KdV equation. When all the odd variables vanish, a nonlinear superposition formula is obtained for Levi's Bäcklund transformation for the KdV equation.
